No, testicular lumps are not normal, but they are common.
The reasons for them range from benign areas of fatty tissues through to tumors.
With your history of vasectomy, and because the lumps are bilateral, it's highly possible these lumps are small areas of scar tissue ........ BUT........ they might not be!
Please make an appointment to see your doctor as soon as possible. It's very important you get them checked poste haste, because if they did happen to be of the nasty variety, the sooner treatment commences, the better the outcome.
Please make that appointment, and come back and let us know how you got on.
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