How much are you looking to spend and does it need to be color ?
if you arent doing much volume an ink jet printer might work for you. I have been quite happy with my epson workforce 2650 on both paper and envelopes. It wont do photo quality but for business quality it works quite well. and it cost about 60 bucks.
i think i would personally go with an hp for a laser printer. If you want a cheap one this one is under 200 and it has a separate slot for envelopes above the paper tray.
It does not say that you need to on this one.
usually that is to give it a straighter paper path so it doesnt jam. thicker media often needs that on cheaper printers.
it does have an external piece that you have to plug in to keep a stack of paper shorter than 185 mm in the multi purpose tray. But a standard #10 envelope is longer than that
You should also avoid envelopes with seams that dont go all the way to the corners as they can scrunch up going through the rollers. Though they dont show that as a problem with this model they do on some of the older ones