I too started doing woodworking again recently. My advice, don't waste your time trying to bandsaw work with something that won't be reasonably precise.
I lurked around for a bench top Rikon 305 10" and it's the most used machine in my shop. Paid $300 CAN for it, included two spare blades, was virtually new looking, but had been used. The gent I bought it from had a killer woodshop setup in his garage. His new Laguna 18" bandsaw was the replacement.
I disassembled most of it, cleaned and squared it all up and installed new bearings that i bought for $20 incl another spare set.
Works amazing, and learned a lot about setting it up. Not difficult, but it's awesome having a machine that cuts straight and true and repeatable, even with the crappy fence and mitre gage - I bought UHMW tape to tighten the slop up in the miter slot.
Use it all the time, it is large enough for most small cuts, limited to about 9" of throat.
Bought a used 14" King bandsaw with a Kreg extruded fence and 4 spare blades, real nice shape from another gent with a $50k woodshop room attached to his garage. Same thing, machine is in great shape other than it's been used, meaning new bearings and setup. That one cost $500 CAD, the fence and blades alone would be close to that new. I'm really thinking of a second Rikon tho, because they're finished so nicely and work well and look very high end, especially for the money.
Busy Bee here in Canada has a house brand also made in Taiwan called CTX which are kind of in that spirit.
https://www.busybeetools.com/categories/Woodworking/Bandsaws/Woodworking-Bandsaws/
Whatever you get, it's going to need to be squared trued and setup properly.
Lots of great bandsaw and other woodworking info on Router Forum, amazing people and knowledge on there. The Alex Snodgrass bandsaw clinic video and related info gives ya a PhD in bandsaw setup in about 30 min.
Lastly, the Sears saws will likely drive you insane because you won't be able to get it true, or at least keep it that way. Also, parts are likely not available.