The aircraft ground speed will continuously increase during the takeoff roll and then remain constant or only change slightly during the initial climb. The speed should never decrease during these stages of flight. Airspeed can vary a bit during the takeoff, e.g. caused by a sudden gust of wind. This might result in "choppy" airspeed data, but due to the inertia of the aircraft not really ground speed. FR24 always shows ground speed and may sometimes also include airspeeds (see Understanding Extended Mode S Data in Flightradar24 for more details).
The ground speed and even the position shown by FR24 can have inaccuracies due to the way it is determined. We already have a few questions here that cover the details, e.g.:
Update after seeing the FR24 screenshot:
The groundspeed during the takeoff roll is actually quite smooth and increases continously:

The slight decrease in ground speed during the climb could be the result of a change in wind speed or direction, possibly caused by turning into a different direction after takeoff.
Regarding the Dash-8, you said
I believe that the Dash-8 does not have auto-throttle if that makes a difference.
That is true, the Dash-8 does not have autothrottle. But at least the Q400 variant has FADEC (full authority digital engine control). For takeoff, the pilots will smoothly advance the power levers into the rating detent.
The FADEC then controls the engines to produce the rated power, typically NTOP (normal takeoff power):
The power lever system is used to initiate power demand through the Full Authority Digital Elec-
tronic Control (FADEC) to meter fuel to the engine in the forward and reverse ranges. [...]
Power lever movement between FLIGHT IDLE and RATING results in the FADEC modulating
the power proportionally between flight idle power and the selected rated power.
(Dash-8 Q400 FCOM - Powerplant)
The Q400 can also reduce the takeoff power when full power is not needed:
Prior to take-off, the power may be reduced for take-off in the NTOP rating using the power der-
ate function. To decrement (or derate) the requested power, the pilot presses the DEC discrete
with the condition lever at the 1020 RPM position (NTOP rating) and the power lever below the
rated power detent. Selection of the DEC discrete, which is a momentary switch, decreases the
NTO requested power in steps of 2% to a limit of 10%. The selection of the Power Derate
RESET discrete at any time resets the derate to 0%.
(Dash-8 Q400 FCOM - Powerplant)
This system ensures a smooth and constant power for takeoff. It is actually quite similar to how it works in modern Airbus aircraft, which have autothrust. The thrust levers are placed into the TOGA or FLEX/MCT detents for takeoff and the FADEC does the rest. Autothrust is not used for takeoff.