I have used a Weller WR 2 station with DSX 120 desoldering iron and currently own a Weller WXR 3 with WXDP 120 desoldering iron. Both have been pretty much trouble-free and I really enjoy desoldering with these.
The WR(M)/WXR rework stations also support hot air pencils, but I cannot really recommend these. The air volume and flow rate is just too little for anything but small SMD components.
If you are deciding between the DSX 80 or 120 hand pieces, go with the latter. The extra power is welcome for large thermal masses, and the tips have an extended tube that reduces the risk of clogging the iron. The desoldering irons are available in pencil style (DSX/WXDP) and vertical style (DXV/WXDV) (pistol grip is not available from Weller). I like and have the pencil style, but that's just preference.
The running costs obviously depend on how frequently you use the station. Tips last a long time but eventually wear out and filters have to be changed every now and then. Prices of consumables have gone up over the last years. Nowadays tips cost ~15 EUR (incl VAT) for the regular XDS tips and ~25 EUR for the extended-life XDSL tips. Filters are 10-15 EUR for a pack of 10 (there are 2 or 3 filters in the glass container depending on the model). Weller recommends replacing the glass containers regularly (~30 EUR for a set of 4), but so far I haven't had issues cleaning my original container. Sure, it's not that transparent anymore, but the only important thing is that the end faces are clean for a good seal. There are also filters inside the soldering station (~25 EUR for a pack of 3), but these last very long.
If you buy the soldering station and hand tool(s) in a kit, spare consumables, cleaning tools and pliers to exchange the tips are included. Else you will have to buy these separately.
As for maintenance, I try to make a habit of cleaning the suction tube before I switch off the iron after a job (simply insert the cleaning tool to push any solder and burnt flux left in the suction tube into the glass container) and I regularly empty the glass container. If you don't clean regularly, the chances of clogging increase. You should also use the tool correctly to reduce the risk of clogging (do not stop sucking before the tip is removed from the lead/pad). The nice thing about the XDS/XDSL tips is that they have an extended tube that goes directly into the glass container. Even if the tip clogs and you don't have time to clean, just insert a new tip and you are ready to go again. It's basically impossible to clog the hand piece itself. So far, I've had a tip clog badly only once but I managed to recover it after spending some time with the cleaning tool.
If you decide to go with a Weller and intend to expand later with other hand pieces, make sure you investigate compatibility. Weller sells several generations which are incompatible with each other and even within a generation some hand pieces do not work on all stations. If you intend to expand with active tip (cartridge) hand pieces, note that Weller active tips are among the priciest (non-active tips on the other hand are cheap). Also pay attention as some Weller (de)soldering stations do not have a built-in pump, but require an external compressor.
The Weller WR(M)/WXR rework stations are very well built in my opinion (check out my teardowns). Yes, there was cost-cutting, but nothing worrisome. Replacement parts (pump, transformer, heating element,...) are very expensive from Weller, though. Luckily I have not needed repairs so far. If you care about repairability, stick with the older generations (like the WR/WRM family). The electronics are a lot less complex and easier to diagnose/repair.
While I would consider the running costs for desoldering very acceptable, the purchase price is another thing. Weller tools are expensive and a huge chunk of the price is just for the name tag. Even though I grew up with Weller soldering tools and always had good experiences with them, their prices have gone off the charts. As a hobbyist there is not a chance I would pay full price for a rework station like the WXR 3. I've been lucky to find a barely used one for a bargain price.
Looking at the price of for example a Chinese ZD-915/ZD-985 desoldering pistol, you could basically replace the entire station each time you have an issue with it and still be much cheaper than the Weller after years... Sure, the Weller has better performance and maintenance ergonomics, but is that worth the extra cost? Unless you need the best performance and reliability professionally, it is very hard to compete with the Chinese offerings.
Take all this as a n=1 experience. Much as I like Weller, I'm sure there are other people who think it's overpriced junk or had bad luck with it.