Typically if you undergo extensive liposuction for the fat transfer to happen, you need to take it easy and especially avoid bending/twisting/heavy lifting for 2-4 weeks. Regarding sitting/laying on your side, I have my patients avoid direct sitting or pressure over the fat grafted areas for 4-6 weeks. Each surgeon has his/her own preferences and down time also depends on the extent of your procedure, but most of the time people are back to normal or near normal lives after 4 weeks.
The recovery time in this case goes from 5 to 14 days. This depends on the volume of fat removed by liposuction and to the amount of fat infiltrated.