To reply to your question about new vs vintage and maintenance, most of my turntables are vintage, but the vintage game is rather 'hit and miss'. Vintage turntables often need a bit of maintenance from the outset, sometimes minor, sometimes major. I am not particularly practical and have had vintage turntables that were beyond me, so have sold them on. But I've also had odd one that has been virtually 'plug and play'. The most common issue is the stylus - a used turntable normally comes with a used stylus with unknown hours and the safest thing to do is immediately replace the stylus (or whole cartridge). A belt-drive may also need a new belt, and possibly a couple drops of turntable oil in the motor and at the base of the spindle. If that's all you've got to do, you've got off lightly.
New budget turntables are also a bit of a lottery, as they are not made to the same standard as they were back in the 70s and 80s. I don't think I have had a new turntable that has been perfect and have returned all but one. One of the most common issues is that the azimuth of the headshell is incorrect, meaning that it is tilted slightly to one side. This may be one justification for going for a new turntable with fixed headshell, such as a Rega.
Once you are underway with a vintage or new turntable, the main maintenance tasks are periodically replacing the stylus and, in the case of a belt-drive, periodically replacing the belt and lubricating.
Of those two turntables you link to, the Lenco L75 is well-regarded but it has a heavy-ish arm that people sometimes replace. The existing arm often needs its 'V-blocks' replacing, but this has already been done on this example. In fact, the whole turntable has been serviced and looks a lovely example, so I think this would be a good purchase for a vintage turntable. My only reservation is that the cartridge looks like an old Trio/Kenwood or Glanz that is fairly basic. This turntable would eventually benefit from a better cartridge, as the cartridge largely determines the character of the sound.
The Pioneer PL-112D should be good and is cheap, but looks in a more raw condition. It may (or may not) require some work. An issue with this model is that the wood veneer often flakes off with age. The cartridge is an Ortofon OM - the exact model is determined by the stylus but I can't see which one it is. It may well be a basic OM5E but this cartridge can upgraded to some very nice models, such as the OM20, with a simple stylus replacement.