Here is a list of centres proposed for the IPU CET exam with their centre codes:
Ambala    81

Bangalore    82

Bhopal    83

Chandigarh    84

Dehradun    85

Delhi    86

Hyderabad    87

Indore    88

Jaipur    89

Jalandhar    90

Kolkata    91

Lucknow    92

Siliguri    93

Udaipur    94

Varanasi    95
Since Bhopal is in this list, you can choose that as the centre.
As far as the mode of examination is concerned, it depends on the authorities and the situation of the pandemic during those days. If they feel that the situation is not so good, they may resort to an online proctored exam, but that is totally their own will.
Best of luck!