Request: Average Daily Temperature For Each Month Across The World

I am looking to plan a trip around the world and the task is to have two distinct periods of warm weather and cool weather. This helps minimise our clothes and stay comfortable.

My plan was to simply draw a line in QGIS of our route (and also use it to predict flight costs based on km traveled) but also work out which areas are too cool / hot at at given month.’

Looking for:

GIS file (vector) with a table of each month’s average daily temp or raster file of same output.

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Any help would be great! I had a deep dive this morning but can only find values aggregated to yearly. I couldn’t seem to find the right sources.