I just use my Hako 936 soldering station with a 1/8" tip. I use ordinary solder (0.024" diameter) with a lot of paste flux. Flux is the key to getting the solder to flow between the pins and pads. It is critical for SMD devices.
If the project has a lot of 0805 packages, I will use solder paste on the pads, set the parts and then do a reflow solder in my converted toaster oven. If the board is small enough, a hot plate works just as well.
I put the vast majority of the parts on the top of the board, especially if I'm going to reflow. Then if I have to add some decoupling caps, I put them on the back side and solder them by hand.
This just isn't something to get all wrapped up in.
I have a hot air tool and I never use it. I'm not trying to remove/replace BGAs, just simple chips with pins.
The best way to remove chips is to cut the pins and then remove them one-by-one. It puts a lot less stress on the board and there is less chance of pads lifting. Perhaps a hot air tool would work better but I have never needed it.