Thank you for your query.
If you have type 1 diabetes
then likely you have some other autoimmune disorders
which occur concomitantly like thyroid disorders, vitiligo of skin, low cortisol levels, celiac disease
, reumatic arthritis etc. The symptoms of stiffness and pain in joints during morning hours warns that you should undergo a blood test for TSH, FT4, Serum RA factor to know the reason.
And I hope your sugars are really under control (HbA1c less tha 7% and). Very high sugars is one of the reasons for joint pain sometimes and certainly a reason for burning sensation in feet soles. Physio exercises unlikely to help. Please make sure your sugars are fine and then you can consult a good Diabetologist
for the burning pain in feet
if it's not controlled further with good sugar control.
Get back to me with the suggested blood test reports for further guidance. Take care.