Base motor for Robotic Arm

Im looking at my options for a base servo motor for a robotic arm I've been working on. I'd like the base to rotate 360 degrees, sail winch servo's are too expensive for this project though. I was thinking of using a continuous servo, but Im not sure if there is a way to 'home' it back to the center position. Is there a way to get a continous servo to move a specific point? 

Why not use a very slow
Why not use a very slow gearmotor? I’ve seen them as low as 2 RPM and they’re usually extremely torquey at that speed.

like this one…

Gear driven pot used for positioning with a servo controller. WormGear motor about $16 usd on Amazon or eBay

Along with the great suggestions you have already received,

any continuous rotation motor/servo with an indication of where “home” is (nub/switch, black mark/optical sensor, magnet/hall effect) would do what you are asking.

Thanks for the replies. I

Thanks for the replies. I should have noted, this robot is a future crowdfunding project so keeping the BOM down is important.  I’ll have to do more research on these options, see which makes sense.