But he is still awaiting a first clean sheet from his new-look Spitfires squad as they build towards their opening Blue Square Bet South fixture at Boreham Wood on August 18.
Eastleigh flew out of the blocks and led 3-0 after 49 minutes thanks to Moses Ademola, a Pete Castle own goal and Daryl McMahon.
But Winchester looked less overawed after the break and took advantage of a couple of defensive lapses to score through Michael Charles and ex-Spitfire Andrew White.
"I'm disappointed with the goals we conceded but, up to then, we had played extremely well in difficult conditions," said Baird.
"The pitch and the wind made things awkward, but I thought our football was superb."
Eastleigh's pre-season programme clicks up a notch tomorrow (Tuesday, 7.45pm) when they entertain Oxford United's first team at the Silverlake Stadium.