Hello,
So taken the fact that you have pain radiating to a thigh, it means that your nerve is getting pressed by the bulged disc. So you should take good physiotherapy treatment for the back to strengthen your core muscles to avoid such pains furthur and then once you are pain free you could resume your work out schedule.
Next Steps
As you have sitting work ,you should break your posture every 30 mins and do a backward stretch and walk a little then sit back again.
Health Tips
The pain radiating to the thigh is alarming of worsening of the problem so avoid those activities after which you feel that.