The multiple term sheet negotiation strategy is generally a myth. [1] Most startups even the ones that are decently successful would be lucky to even get 1 given the enormous time sink (and seems to be corroborated by the data in the blog post - 30(+15+5) meetings for 1 term sheet!) Also remember you have atmost a week to accept it.

(Unless of course you are piedpiper ;)

[1]https://stevecheney.com/on-vc-startup-myths/