Any of those units would do the trick. I just looked up the Tascam DP-006 it has built in mic's, a inst. / line in jack, and a USB port to export your tracks to your computer. It gives you the option to multi-track yourself standalone (no computer). Or you can export the tracks to your computer and work with them with an easy tool like Audacity (add reverb, EG, etc...). It's very similar to the cassette versions that many of us cave dwellers learned on

. The big plus with multi-track is you don't have to sync the tracks, you play along. Again you get the basics down and down the road you may want to add a small mixer where you can "send" your mixed 4-tracks to a track and keep adding parts (Bohemian Rhapsody was recorded on a 24 track system and they did about a 100 tracks on those vocals). It's always easier to learn DAW concepts once you understand the physical operations. And face it any band that does any recording will be using a DAW, it never hurts to have basic studio skills.
As for the band thing, bands are like relationships... just read a bit in the "Band Management" forum, you are definitely not alone. I quit playing for about 10 years in my 30's, now at 66 I play almost as much as did in my 20's and being able to put together a home studio has been a blessing. In the 70's and 80's it would have been completely out of reach to do what modern DAW and plugin software can do for a few hundred bucks and a PC (and the cost of hardware has really come down as well).
Not playing the "old Boomer" here, but I do smile whenever I find an old band practice cassette from back in the day, and our Digital recorder was basically a cassette boom box set on record in the back of the room.
It's all good, cheers