Hey, thanks for the informative reply, I'm probably getting everything you recommended.. What is the difference between the flux paste and the rosin bottle? Also, the solder wire you recommended is 0.025 inch or 0.6mm, is that too thick? Dave recommended wire that is thinner than 0.2 inch. I found this more affordable wick, https://www.tequipment.net/ElencoSW-3.html?OrderItemId=5238804 , is this any good? Seems to have good reviews.
In regard to the fluxes, paste is just that; a paste (think similar to petroleum jelly/petrolatum in terms of viscosity), while the contents in the bottle is a liquid. Personally, I find I use the liquid more frequently than gel/paste flux given past experience with disposable pens and better precision dispensing it (I use a brush pen).
Wire size is really up to you; for general purpose, .032", .025", or .020" work very well (personal preference comes into play here as well). Do keep in mind, that if you're doing mostly PTH, the larger diameters will work better as you don't have to feed as much length into the joint, allowing you to make them quicker. The finer you go for the same size & type of joint, you'll have to feed in more wire which can cause you to keep the heat on longer to form a proper joint (dwell time).
As you didn't indicate what you'll be doing the most of between PTH and SMD (suspect this will be fluid as you progress), the .025" works best as a general purpose size IME so you don't have to keep multiple sizes on hand (you may find it necessary at some point in the future). Now if you know you'll be doing more SMD than PTH, then I'd suggest going ahead and getting the .020" instead.
I've never used the Elenco wick (rebranded), so I can't really comment. But I prefer to buy from companies that actually manufacture their products, hence Chemtronics or other quality brands. MG Chemicals is also an actual manufacturer. You can toss one in the order as well to try, assuming availability is decent for your location.
There are some decent solder and wick manufacturers in Taiwan, but I don't know the brands. Genuine Goot is good stuff (Japanese), but is highly counterfeited, so I wouldn't buy it anywhere other than from Japan if there's no distributor for Singapore.