Can't add much to this thread, I have a number of shotguns new and old, but I do have the short barrel Tac. style Mossberg 500 synthetic. Great for bears and close in "house work" Top safety tang is great/no nonsense right or left handed.
Using it for target shooting ,meh, not so good, you can buy an additional longer barrel that is easy to change back and forth if you want too shoot clays.
The older 870's were better built, new 870 synthetic on the same level as Mossberg probably,new 870 with the cheap wood nowadays, yuck.
If you want a really solid pump gun,( not stamped out like current Moss,Rem, Win. guns) buy an older Winchester model 97 or Model 12 that has had the barrel cut off or cutts comp or poly choke installed.
Don't ever ruin one of the "good original old ones PLEASE!! The above chokes installed have already de-valued the gun so no harm done to hack one of those off further.
Also don't discount getting an old shortened side by side, simple as dirt, easy to check whether loaded or not, safety is usually a top tang. Fewer ready shells at you disposal though. Although 2- 12guage 00 buck should clear the room
If you want it to be multi purpose you might pick a good long barrel gun and then find an old smooth bore deer barrel for it . Those are usually found reasonable as everybody nowadays wants a rifled deer barrel.
There a lot of great guns mentioned in above postings, the Ol'Mossback ought to work fine for what you want to accomplish without shelling out big bucks.
If it kicks too much for you install a good recoil pad, if that makes the stock too long cut it down and install the pad.
My 2 cents