Last night, I got couple of consecutive flats while cruising at a good pace on a narrow highway shoulder. Of course, the flat tire shifted left and right a few times before I can make a complete stop. Ever since I am a little edgy. I always feel like the tires are washing left and right even though everything is tight. It's just a sensation. I hope to get over it soon. Is this normal? Also, is there a safe way to deal with a front tire flat when moving at a good pace?

Thanks,