Would I need to purchase an all new set of lenses for that?
Yes.
The lenses I bought are listed as full frame, but I am concerned that because I bought the MFT mount there won't be any way I can use these.
That's a legitimate fear. Samyang/Rokinon does not make interchangeable mounts (except on the Xeen cinema lenses), and the smaller throat of the MFT mount (44mm) will cause vignetting on, for example, the EOS R or Canon EF mounts, which have 54mm throats, if you can even find an adapter, which is highly unlikely because of the similar mount depths.
The flange distance (distance from the lens mount to the sensor where the lens has to be held to achieve full focus range to infinity) with MFT is 19.25mm. EOS R's is 20mm and Sony E's is 18mm. So no adapter will make it compatible with EOS R full focus range (you have to shave 0.75mm off the back of the MFT mount), and 1.25mm isn't thick enough to make an adapter ring for Sony E.
You have to exchange the MFT mount lens for one in the new mount you're moving to, despite the main formulation of the lens being full-frame capable.
It would have been better to say, purchase lenses in Canon EF mount and adapt for MFT use if you were planning on moving to full frame mirrorless in the future. But that's not much use to you at this point.