If you need to get to the bottom side of the mechanism, you should have three posts (maybe four) in the vicinity of the spring suspension. There is a clip on the bottom of each post, you may need to work through a tiny opening with a screwdriver to get them off. If you can tip the clip flat to the shaft they will fall off, or at least present a profile that will allow you to lift the mechaism from the base.
Expect the grease to be hard, so remove as much as you can. The sintered oillite bearings on the motor will need attention too. Labelle light oil, and medium weight oil, as well as light grease will be ideal for lubrication of the various lube points.
:I just inherited this record player and would like to get it working well so I can once again listen to the dozens of records I have. It is a four speed, with changer and tip down turntable, two fold out speakers and all in a portable case. After some fiddling, the turntable is turning on 33 and 45 rpm but a tad slow. Can't get it going at all on 16 or 78 rpm. Since I like to tinker, I would like to know how to get the turntable out without wrecking it. I suspect it is just gunked up from nonuse. I would estimate this to be a late 60's to early 70's unit and it does not have tubes (all transistorized). Anybody able to help or with a manual, please email me direct or answer here. Thanks.