This is what I am leaning towards, they are reasonably priced, shoot reasonably well, and are simple. I like the old Winchester and Remington rifles as well.
Do you recommend mag-fed or tube-fed rifles?
There are pros and cons.
On the one hand magazines are very young shooter friendly as they make it easy to clear the weapon and you can hand them a magazine with just one bullet in it. And there are single shot adapters that fit in the magazine well for some rifles.
On the other hand if the magazine is lost it renders the rifle all but unusable, and spare magazines can be hard to find and or expensive for some models.
Some magazine designs are also very poor. For example the Remington Model 541S is in all other respects a fine medium/high end sporter. However the plastic magazine is horrible. 5 round magazines are hard to find. 10 round magazines are easier to find (and they share the same mag with the Remington 77), but they crack down the middle and puke out all the rounds.
CZ mags are great in both plastic and metal versions as are the magazines for the Winchester 52, 69 and 75.
The Zastava mags for the Remington Model 5 / CZ-99 precision / MP-22 rifles were unobtainable but are now occasionally in stock on the Zastava Arms USA web site.
And a big plus in the field of hunting squirrels, rabbits etc is that you can reload just by switching magazines or top off a magazine.
Tubular magazines are harder to load but usually hold more rounds.
They can also be lost and if lost render the rifle unusable. For example the Winchester 9422 is infamous for lost magazine tubes. People will shoot them empty and then walk back to their vehicle with the rifle in one hand. There is no spring pressure on the assembly when it’s empty and it doesn’t take much for the small pin to rotate out of the detent and allow the tube to fall out.
I install a thin o-ring on the tube so that you have to press down on the end to get it out of the detent.

My major concern with some tubular magazine design .22 LR rifles is that between the lifter and the small ejection port, it can be very difficult to verify the rifle is actually unloaded.
They are probably the most common forearm for negligent discharges as a round will hang up in the tube, and the shooter will think it is clear as rounds stopped being ejected.
Some designs, like the Winchester 1890, 1906, and Model 62 have a very open design where that’s not a problem.