I try to use an empirical and objective method to select the best vendor, and I recommend this method as it has served me well in the past. Now, there may be specific, particular reasons or details in your case to choose one vendor solution over another. If that's the case, use those specifics. If you're unsure, give this a try.
First, we collect information on the vendors we are considering. Then, we get those informed, involved, and the stakeholders together in a meeting. Next, we whiteboard a matrix. Each row lists a vendor solution. Columns are Price, Features, Time, and Ease (or Simplicity). For each vendor solution, give a ranking in each column. Either a number score, (say 1 to 5) or simply High, Medium, and Low. Note that a better price, less time, etc. gets a higher ranking or better score.

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Create a last column that is the average of the rankings. The vendor solution with the highest score is the best one. Seems far too simple, right? Surprisingly, this method has worked for me more than a few times. With various departments and stakeholders involved, it can take some politics and biases out of the decision making process, as well. When there are "ties" then we look closely at the details and make an informed choice. We can
share the data in spreadsheets or project management tools.