Lavatera likes full sun, but the question is, how big are the roots - if you've had them more than 3 years, and they're the shrubby kind with a very woody base, it won't be easy to get the roots out intact for the move. These shrubs should be cut down in mid spring, back to about 8 inches from the base - that way, when they grow their usual four to six feet, they don't take up so much room in high summer.

I find Lavatera are quite short lived. Perhaps you could collect some seed and sow it where you'd like them to be - in the new spot in full sun.

I suppose all you can do is try but don't be surprised if they do not survive because they often don't like being moved. Cut them right back , dig up as much of the root as you can in one piece and transplant them.If they do not survive, and you want the same again, they are not very expensive shrubs to replace.

thank you everyone for your advice. Maybe I will leave them where they are for one more year and then start new next year.