rsync --max-size=... --exclude '.*'
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--max-size=SIZE
This tells rsync to avoid transferring any file that is larger than the specified SIZE. The SIZE value can be suffixed with a string to indicate a size multiplier, and may be a fractional value (e.g. "--max-size=1.5m").
This option is a transfer rule, not an exclude, so it doesn’t affect the data that goes into the file-lists, and thus it doesn’t affect deletions. It just limits the files that the receiver requests to be transferred.
The suffixes are as follows: "K" (or "KiB") is a kibibyte (1024), "M" (or "MiB") is a mebibyte (1024*1024), and "G" (or "GiB") is a gibibyte (1024*1024*1024). If you want the multiplier to be 1000 instead of 1024, use "KB", "MB", or "GB". (Note: lower-case is also accepted for all values.) Finally, if the suffix ends in either "+1" or "-1", the value will be offset by one byte in the indicated direction.
Examples: --max-size=1.5mb-1 is 1499999 bytes, and --max-size=2g+1 is 2147483649 bytes.